If A : B = 5 : 8 and B : C = 7 : 8, then find A : C.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 35 : 64.
To find A:C, we need to express both ratios with a common value for B.
The least common multiple of 8 and 7 is 56.
⇒ A:B = 5:8
⇒ Multiply both sides by 7; A:B = 35:56
⇒ B:C = 7:8
⇒ Multiply both sides by 8; B:C = 56:64
Now that B has the same value in both ratios, we can directly compare A and C:
⇒ A:C = 35:64
Therefore, A:C = 35:64